Apply alternating series error bound

Using the error bound of alternating series to determine the error bound of  

We need to sum up to how many terms to get the summation  of the series  accurate at least for  3 decimal places.

For the error  of the series   and the error   of the series

choose the correct statement about the error  for the series

We need to sum up to how many terms to get the summation  of the series  accurate at least for  3 decimal places.

What is the error of the series 

Using the error bound of alternating series to determine the error bound of  

We want to use the partial sum to approximate the series  . How many terms do we need to add  at least to achieve the accuracy less than 0.005?

Using the error bound of alternating series to determine the error bound of  

What is the error  of the series

Using the error bound of alternating series to determine the error bound of  

We want to use the partial sum to approximate the series  . How many terms do we need to add  at least to achieve the accuracy less than 0.0001?

We want to use the partial sum to approximate the series  . How many terms do we need to add  at least to achieve the accuracy less than 0.0001?

We want to use the partial sum to approximate the series  . How many terms do we need to add  at least to achieve the accuracy less than 0.0005?

We need to sum up to how many terms to get the summation  of the series  accurate at least for  4 decimal places.

Knowing that ,  using the error bound of alternating series we have